There are a number of possibilities to do a post-doc at the MTG, in particular:
 

1. Ramon y Cajal 2016. Post-doctoral positions funded by the Spanish government with which you can join a spanish research group like the MTG. For information and application: http://www.idi.mineco.gob.es/portal/site/MICINN/menuitem.dbc68b34d11ccbd...

2. Juan de la Cierva 2016. Post-doctoral positions for young doctors funded by the Spanish government with which you can join a Spanish research group like the MTG. For information and application: http://www.idi.mineco.gob.es/portal/site/MICINN/menuitem.dbc68b34d11ccbd...

3. Tenure-track position in Computer Science in the framework of the Maria de Maeztu Research Program of the Department of Information and Communication Technologies (DICT). For information and application: https://www.upf.edu/es/web/etic/tenure-track-position-in-computer-science

4. Senior faculty position in Computer Science in the framework of the Maria de Maeztu Research Program of the Department of Information and Communication Technologies (DICT). For information and application: https://www.upf.edu/es/web/etic/senior-faculty-position